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1 The current issue and full text archive of this journal is available at IJSE 41,5 362 Received 17 January 2013 Revised 8 July 2013 Accepted 16 July 2013 Does minimum wage affect hours worked of paid employment in Indonesia? Devanto Shasta Pratomo Faculty of Economics and Business, Brawijaya University, Malang, Indonesia Abstract Purpose The purpose of this paper is to examine the effect of a change in minimum wage on hours worked of paid employment in Indonesia. This study used the Indonesian Labor Force Survey (Sakernas) data from 1996 to Design/methodology/approach This study employs Bourguignon-Fournier-Gurgand two-step procedure of sample selection corrections based on a multinomial logit model for a potential selection bias from a non-random sample. This study extends the specification by examining the effects of minimum wage on hours worked of paid employment separately across individuals in different groups of gender (male-female workers) and residences (urban-rural areas). Findings This study generally found that an increase in the minimum wage increases hours worked of the existing paid employees. The effects of the minimum wage on hours worked are stronger for female workers than male workers particularly in urban areas due to that female workers, particularly in urban areas, are mostly employed in industries which contain more low-wage workers. Comparing residences, the minimum wage coefficient in rural areas is slightly higher because of the structural transformation in Indonesia marked by a shift in employment from the agriculture sector to the other sectors that require more working hours. Originality/value The empirical studies of the effect of minimum wage on hours worked in developing countries are very limited. This study contributes to the literature by employing the sample selection corrections based on a multinomial logit for a potential selection bias from a non-random sample This study also extends the hours worked specification by analyzing the effects of minimum wage on hours worked separately across individuals in different groups of workers, in terms of gender (male-female workers) and their residences (urban-rural areas). Keywords Employment, Labour, Wages Paper type Research paper International Journal of Social Economics Vol. 41 No. 5, 2014 pp r Emerald Group Publishing Limited DOI /IJSE Introduction Based on the standard theoretical framework, an increase in the minimum wage is predicted to decrease the number of workers employed at the extensive margin or to change the labor utilization (working time) of the existing workers at the intensive margin (Hamermesh, 1993). Although there are many studies about the effects of minimum wage on the number of employment (at the extensive margin), the empirical studies of the effect of a change in minimum wage on hours worked (at the intensive margin) are very limited in developing country cases. The previous studies showed that the effect of a change in minimum wage on hours worked per worker is ambiguous. In the presence of high-fixed employment costs (such as hiring costs, training costs, and fringe benefits), an increase in minimum wage has been predicted to cause an increase in hours worked of workers who remain employed (usually high-skilled workers) and to cause a decrease in the number of low-skilled workers (Metcalf, 2008). This evidence suggests that employers make adjustments by employing their existing workers for longer hours in order to compensate for a decrease in the number of workers employed as minimum wage increases, implying

2 a substitution effect between hours worked and employment (Stewart and Swaffield, 2008; Gindling and Terrell, 2007). In contrast, if the fixed employment costs are relatively low, an increase in minimum wage is more likely to raise employment costs variable (such as hourly wages) relative to fixed employment costs, suggesting that employers are likely to make adjustments by employing their existing workers for less hours and hiring more workers (Costa, 2000; Connolly and Gregory, 2002). However, in the long run, this increase in employment (workers) might be offset by employing more capital than workers, suggesting a potential decrease in both hours and employment (Costa, 2000). Considering the scale effect, Michl (2000) also argued that, using normal inputs, an increase in minimum wage is predicted to increase total labor costs. Moreover, according to the standard competitive market model, an increase in labor costs induces employers to raise output price, suggesting a decrease in the demand for output. By implication, employers would be predicted to reduce their demand for hours of labor, as well as demand for workers, unambiguously. The main objective of this study is to examine the effects of a change in minimum wage on hours worked of paid employment in Indonesia. Although there are some empirical studies on the effects of minimum wage on number of employment, mostly showing a negative employment effect in Indonesia (see for examples (Rama, 2001; Suryahadi et al., 2003; Pratomo, 2011), there is no information about the effects of minimum wage on hour worked. Compared to the developed country studies with hourly terms minimum wage, Indonesia s case provides a different characteristic in that the minimum wages are set for full-time workers based on monthly terms minimum wage with a standard of 40 hours worked per week (see Rama, 2001)[1]. In practice, it is not clear how the minimum wage affects hours worked in terms of monthly minimum wage, since the previous empirical studies and theoretical predictions are mainly based on hourly minimum wage analysis. This is one of the reasons why the effect of minimum wage on hours worked in Indonesia is an interesting topic, particularly in the context of developing country studies. This study examines a complete specification on the impact of minimum wage on hours worked of paid employment, a category of employment legally covered by the minimum wage policy in Indonesia, using the Indonesian Labor Force Survey (Sakernas) from 1996 to This study contributes to the previous developing countries literature at least in two respects. First, compared to the existing developing countries literature, the sample selection corrections based on a multinomial logit for a potential selection bias from a non-random sample are taken into account as there is a potential problem relating to the appropriate specification in this hours worked estimation. In practice, individuals selected in the sample might select themselves (self-selection) into an employment sector (or category) where they have a preference depending on their potential hours worked, suggesting that they are likely to be non-random samples from the population. Second, this study extends the hours worked specification by analyzing the effects of minimum wage on hours worked separately across individuals in different groups of workers, in terms of gender (male-female workers) and their residences (urban-rural areas). In practice, male and female workers behave differently as minimum wage increases because they have different labor market characteristics. Female workers with young children in their household, for example, tend to work shorter hours (part-time) because of their domestic responsibilities compared to male workers. In addition, workers in urban and rural areas also have a different range of compliance Paid employment in Indonesia 363

3 IJSE 41,5 364 in minimum wage policy as minimum wage is more effectively enforced in urban areas than in rural areas in Indonesia. The rest of this paper is organized as follows. Section 2 reviews the minimum wage policy and hours worked condition in Indonesia. Section 3 reviews the previous literature on the effects of minimum wage on hours worked from both developed and developing countries. Section 4 discusses the research methodology and data used in this study. Section 5 analyses the main findings. Finally, Section 6 provides conclusions. 2. Minimum wages policy and hours worked in Indonesia In general, the minimum wage level in Indonesia is set regionally across 33 provinces in Indonesia. However, several minimum wages (sub-minimum wage) are also allowed to exist for different local districts/cities (lower level region) within a province, particularly in Java and Bali, and in some cases, for specific sectors of activity, as long as they are not below the provincial minimum wage level (Suryahadi et al., 2003). As mentioned above, the minimum wage in Indonesia is set based on the monthly terms (not the hourly terms like in many developed countries). Typically, the Indonesian minimum wage is set for full-time workers with a standard of 40 hours worked per week or about 173 hours worked per month (Rama, 2001). However, the minimum wage is flexible and can be adjusted for part-time workers who work less than 40 hours per week on a pro-rata basis. In addition, the minimum wage policy is legally applied to all paid employment without considering firms size and sector of activity, while self-employment and unpaid family workers are the sectors not covered by the minimum wage policy. The official standard working hours for workers in Indonesia, based on government regulations, are 40 hours per week (equivalent to eight hours per day for business with five days of work or seven hours per day for business with six days of work)[2]. Compared to the other developing countries, standard working hours in Indonesia are slightly lower. In comparison, the standard working hours for Chile and Mexico are 48 hours per week, 44 hours per week for South Korea, while for Malaysia; it is the same as Indonesia at 40 hours per week (Nayar, 1996). In addition to the standard working hours, Indonesian workers are allowed to work three hours overtime per day or 14 hours overtime per week (equivalent to a maximum of 54 hours in total for the workweek) with the overtime wage rates (the so-called overtime premium). The overtime premium is set at 1.5 times the normal hourly wage for the first overtime hour and twice the normal hourly wage for subsequent hours. Table I shows the average hours worked in paid employment in Indonesia categorized by gender, location (residence), and sector of activities. As shown, there is a substantial variation in the hours worked of different groups of workers. In both urban and rural areas, workers in the transportation and trade sector, which usually do not require fixed hours worked per week, tend to work longer hours than the other sectors. Moreover, workers in the agriculture sector were, on average, working fewer hours due to a domination of part-time workers. In practice, hours worked of workers in the agriculture sector are likely to be seasonal. In addition, female workers tend to work shorter hours (part-time work) than male workers, particularly because of their domestic responsibilities that require less working hours. Although the minimum wage is set based on monthly terms for full-time workers, minimum wage policy also covers part-time workers (workers who work less than 40 hours per week) using some adjustment on a pro-rata basis, depending on how many

4 Urban areas Rural areas Male Female Total Male Female Total Sector Agriculture Mining Electricity Construction Transportation Finance Manufacturing Trade Services Total Source: Calculated from Sakernas Paid employment in Indonesia 365 Table I. Average hours worked per week of paid employment by gender, location, and sector (pooled data ) days and hours they worked. As pointed out by Smyth (1995) and Dhanani (2004), part-time work is attractive for some workers at particular stages of their life-cycle, for example, women with young children and young people who are attending school, due to the fact that there is no need for them to work full-time or other tasks make it impossible to work full-time (or permanently). In practice, as presented in Table II, the majority of part-time workers are found in rural areas, given the dominance of agriculture sectors with seasonal and shorter working hours, while workers in urban areas are generally working full-time. However, Dhanani (2004) confirms that the dominance of part-time workers in rural areas declines over time because of the urbanization from rural to urban areas and the structural transformation from the agriculture to the manufacturing sectors during the recent period. In addition, the proportion of females who work part-time in rural areas is about 55 percent of total female workers in rural areas, while in urban areas it is only 38 percent. 3. Literature review This section reviews the previous empirical studies in international publications on the effects of minimum wages on hours worked. According to the standard competitive model, an increase in the minimum wage is generally predicted to reduce the demand for labor. However, in the standard textbook presentations, this reduction is usually interpreted as a reduction in number of workers (employment) rather than a reduction in hours worked per worker (see for example Filer et al., 1996). In practice, besides Urban areas Rural areas Male Female Total Male Female Total Full-time 66,182 (73.59%) Part-time 23,750 (26.41%) Total 89,932 (100%) 25,724 (61.81%) 15,891 (38.19%) 41,815 (100%) Source: Calculated from Sakernas 91,906 (69.87%) 39,641 (30.13%) 131,547 (100%) 46,579 (64.62%) 25,503 (35.38%) 72,082 (100%) 13,051 (44.66%) 16,174 (55.34%) 29,225 (100%) 59,630 (58.86%) 41,677 (41.14%) 101,307 (100%) Table II. Full-time and part-time paid employment by gender and location (pooled data )

5 IJSE 41,5 366 reducing their numbers of workers at the extensive margins, employers might also adjust their labor utilization at the intensive margin by changing their workers hours worked or changing the relative use of full-time and part-time for their existing workers (Hamermesh, 1993). In addition, Hamermesh (1993) also pointed out that, in the short run, employers are more likely to change their workers hours worked than to change their number of workers in response to minimum wage. The potential reason is because the hours worked adjustment costs tend to be lower than the employment adjustment costs (Connolly and Gregory, 2002). Although there are large numbers of empirical studies on the effect of minimum wage on employment, there are only a few studies that specifically focus on the effect of minimum wage on hours worked. According to Brown (1999), one of the reasons is because of data unavailability on workers weekly hours for long time periods. One of the earliest studies that examined the effect of minimum wage on hours worked, as an alternative measure to employment, is the study of minimum wage and long run elasticity of demand for low-wage labor in the US manufacturing sector conducted by Zucker (1973). Using a dynamic panel data method from seven non-durable goods industries, Zucker (1973) found that an increase in minimum wage reduced both the number of workers and the average weekly hours with the long-run elasticities of 0.79 and 0.91, respectively. Relating to this result, Zucker (1973) argued that employers respond to an increase in minimum wage by substituting more capital for their unskilled labor (both in terms of hours worked and workers), particularly in the long run. In addition, the hours effects were relatively larger than workers effects because of high-fixed employment costs. In more recent panel data studies, Zavodny (2000) and Couch and Wittenburg (2001) found contradictory results using different sets of US data. Couch and Wittenburg (2001), found that an increase in the state minimum wage level reduced the average hours of work. Similar to Zucker (1973), they found that the hours worked elasticity was larger than the size of workers elasticity, suggesting that employers adjusted their labor utilization in the short run by changing their workers hours rather than changing their number of workers (employment). Contrary to Couch and Wittenburg (2001), Zavodny (2000) found that an increase in minimum wage was positively associated with the teens average hours worked. The reason for this positive effect was because employers make adjustment by substituting their high-skilled teenage employment for low-skilled adult and teenage employment, indicating the presence of a dominating substitution effect. A more comprehensive study using the US data was conducted by Neumark et al. (2004). Using the individual-level panel data set from 1979 to 1997, they estimated the effect of minimum wage on the full set of the margins, including hourly wage, employment, hours worked, and labor income, at different points of wage distribution. Evidence from the hours effect suggested that effects of the minimum wage on hours worked were mixed, depending on the workers position in the wage distribution. In contrast, hours worked were predicted to increase for those who are initially paid above minimum wage level (high-wage worker). Similar to Zavodny (2000), this result suggested that employers substituted their high-wage workers hours worked for low-wage workers hours worked in response to an increase in minimum wage. In contrast to developed countries studies, there are limited numbers of publications in examining the effect of minimum wage on hours worked in developing countries. El-Hamidi and Terrell (2002) estimated the effect of the Costa Rican industrial minimum wage on employment using industrial panel data for the covered and

6 uncovered sectors. They found that the minimum wage was positively related with hours worked in the covered sector particularly when the ratio of minimum wage to the average wage was low. In addition, El-Hamidi and Terrell (2002) also found that there was a significant positive effect of minimum wage on hours worked of workers in the uncovered sector. The result showed that an increase in minimum wage by 1 percent increased uncovered sector employment (i.e. self-employment) by 1.2 percent. Contrary to the previous Costa Rican study, Gindling and Terrell (2007) found different results suggesting that an increase in minimum wage reduced the number of hours worked in the covered sector. The result confirmed that employers respond to an increase in the minimum wage by reducing the number of hours worked as well as the number of workers. However, the effect of minimum wage on hours of work of workers in the uncovered sector is not significant. Table III summarizes the estimated effects of minimum wage on hours worked in the literature. Paid employment in Indonesia Research methodology The effects of a change in minimum wage on hours worked are estimated particularly for paid employment using the pooled cross-sectional time-series of Indonesian Labor Force Survey (Sakernas) from 1996 to 2003[3]. There is a potential selection bias problem from a non-random sample relating to the appropriate specification in the hours worked estimation of paid employment. Specifically, individuals who expect fixed (or standard) working hours might select themselves into the paid employment category, while individuals who expect more flexible working hours might put themselves into the self-employed and unpaid family workers categories. As a result, the choice of employment sectors (for instance, paid employment in the covered sector or self-employed and unpaid family worker in the uncovered sector) tends to be closely related with their hours of work. This implies that the unobserved factors which affect the choice of employment sectors are also likely to be correlated with the unobserved factors in the hours worked equation, suggesting a potential sample selection bias in the ordinary least square (OLS) estimator. To control for a potential sample selection bias, this study uses two-step procedure of Bourguignon-Fournier-Gurgand (hereafter BFG) selection-biased corrections to correct for selection bias based on the multinomial logit model (Bourguignon et al., 2007)[4]. BFG s method is actually a modification of Lee (1983) correction method, using a set of normal distributions in the error terms, both in the selection and the outcome equation. Moreover, it is assumed that there is a linear correlation between the normalized error terms in the selection equation and the normalized error term in the outcome equation (see Bourguignon et al., 2007). In contrast to Lee s method, BFG s method estimates all correlation patterns between the error term for each employment sector choices in the multinomial logit model and the error term in the outcome equation. Therefore, the number of selection terms will be equal to the number of employment sector choices from the first-stage estimation (Dimova and Gang, 2007). Using the Monte Carlo experiment, Bourguignon et al. (2007) indicated that their method is generally robust across different sample sizes and different number of choices designs compared to Lee s method. Moreover, they indicated that BFG s method is superior to the other methods particularly when normality is needed in the outcome equation. In addition, as pointed out by Dimova and Gang (2007), using BFG s method, we can identify which employment category in the samples causes the selection bias. As noted by Dimova and Gang (2007), a negative coefficient in the outcome equation would mean that individuals in a specific sector are likely to work fewer hours than a

8 random set of comparable individuals in the population because individuals with worse (less suitable) unobserved characteristics have allocated themselves into this sector out of an alternative one, or because individuals with better (more suitable) unobserved characteristics have allocated themselves elsewhere from this sector. On the other side, a positive coefficient in the outcome equation would mean that individuals in a specific sector are likely to work more hours than a random set of comparable individuals in the population because individuals with better (more suitable) unobserved characteristics have allocated themselves into this sector out of an alternative one (see Dimova and Gang, 2007 for a further example of interpretation of BFG s method). Specifically, the two-step procedures of selection-biased corrections used in this study are as follow. In the first step, the labor market is distinguished into four different categories of employment(s) based on their employment status in the Sakernas including self-employed, unpaid family workers, paid employment, and unemployed: Paid employment in Indonesia 369 employment s ¼ zg s þ Z s ; s ¼ 1; 2; 3; 4 ð1þ In other words, s is a categorical variable, indicating the selection process between these four different employment categories. The multinomial logit model of these four categories of employment will be estimated in order to obtain the predicted values used to generate the selectivity terms associated with each employment categories. This selection terms will then be used as an additional explanatory variables in the hours worked equation (second-stage of estimation). The complete explanatory variables (z) used in the first step (the multinomial logit model) are: log of real provincial minimum wage; gender (female is the reference group); a set of age group (X50 years old is the reference group); a set of marital status (singles are the reference group); a set of highest education completed (not finished primary school yet or never been in school is the reference group); a set of provincial dummy variables (West Java is the reference group); a set of year dummy variables (1996 is the reference group); a set of family background variables, including head of household (not head of household is the reference group) and number of children in the household (no children is the reference group). Relating to the explanatory variables, as pointed out by Zhang (2004), Asadullah (2006), and Ewoudou and Venchatachellum (2006), the identifying variables (at least one variable) that are likely to affect the employment sector choices (in the first-stage of estimation) but unlikely to affect the outcome variable (hours worked in the secondstage of estimation) are necessarily needed to identify the selection term(s). In this case, a set of highest education completed dummy variables are used as the identifying variables for selection equation purposes (first-stage of estimation) assuming there is no significant difference in terms of hours worked between workers with a higher level of education and workers with a lower level of education. Looking at the correlation coefficients, levels of education have also higher correlations with the employment categories than the hours worked across gender (male and female workers) and their residences (urban and rural areas). Therefore, we argue that levels of education will be the most appropriate as the identifying variables in the selection equation of the hours worked estimation using our labor force survey data. In the second-stage of estimation, hours is the hours worked variable (as the outcome variable) examined for paid employment as a valid measure of the workers covered by the minimum wage policy in Indonesia. Using BFG s method, all of the

9 IJSE 41,5 370 explanatory variables will also be used for second-stage estimation except the identifying variables. In addition, two additional explanatory variables influencing the hours worked will be added in the hours worked equation (as second-stage estimation) including, First, a set of sectoral activities of individual jobs (the agriculture sector is the reference group) and second, the provincial unemployment rate correlated with individual residence in the survey: hours j ¼ xb j þ m j j ¼ 3 ¼ paid employment ð2þ Table IV presents the sample means of paid employment variable for both males and females, as well as in both urban and rural areas. As indicated in Table IV, in terms of marital status, in urban areas, the proportion of married women (46.2 percent) is lower than the proportion of married men (72.2 percent) due to the possible higher Urban Rural Male Female Total Male Female Total Table IV. Sample means (pooled data ) Ln real minimum wage Marital status Married Separated Single Education Below primary Primary Junior H.S Senior H.S Academy University Age Age Age Age Age Sector of activities Agriculture Mining Industry Electricity Construction Trade Transportation Finance Services Family background Head of household Number of children No children children X2 children Unemployment rate Source: Calculated from Sakernas

10 commitment for female workers with their household responsibilities. However, the proportion of married women in rural areas (61.2 percent) is relatively higher due to a higher possibility of working part-time, particularly in the agriculture sector. In terms of levels of education, the modal education category of a worker in urban areas is senior high school qualification (42.3 percent), while in rural areas the modal education category of a worker is primary school qualification (36.5 percent). Relating to the age groups, the proportion of workers increases as age increases but it will decline among the older groups of workers, indicating an inverted U-shaped relationship. Finally, in terms of sector of activities, the employment proportions of workers in urban areas are services (39 percent) and manufacturing sectors (22 percent), while the employment proportions of workers in rural areas are the agriculture (33 percent) and service sector (25 percent). Paid employment in Indonesia Empirical results Table V presents the minimum wage coefficients in the first-stage estimation of multinomial logit selection model using four different employment categories, including self-employed, paid employment, unpaid family workers and unemployed across gender and residences[5]. The marginal effects are presented to interpret the first-stage of estimation analysis. As presented in Table V, an increase in the minimum wage increases the probability of being self-employed (marginal effect is 0.022) and decreases the probability of being unemployed (marginal effect is 0.012) for male workers in urban areas. The possible reason of a decrease in the probability of being unemployed is that there are no social benefits provided by the government to being unemployed in Indonesia. Moreover, the effect of the minimum wage on the probability of being in paid employed for male workers is negative but the coefficient is not significantly different from zero. For female workers in urban areas, an increase in minimum wage tends to decrease the probability of being in paid employment (marginal effect is 0.029). In contrast to male workers, an increase in the minimum wage is likely to increase the probability of women being unpaid family workers (marginal effect is 0.032). Women are more likely to enter the unpaid family workers category, compared to men, because of their home-based locations and flexible working hours related to domestic tasks (Singh et al., 2004). In addition, the effects of the minimum wage on the probability of being self-employed and unemployed are not significantly different from zero. In rural areas, an increase in minimum wage reduces the probability of being paid employed (marginal effect is 0.020) for male workers. Within the uncovered sector, an increase in minimum wage leads to an increase in the probability of men being The coefficient Self-employed (1) Unpaid family worker (2) Paid employment (3) Unemployed (4) of log real MW M.E. p value M.E. p value M.E. p value M.E. p value Males urban Females urban Males rural Females rural Notes: The other independent variables include age groups, marital statuses, highest education levels completed, provincial, and year dummy variables. Estimated by multinomial logit Table V. Employment equation using four employment categories

11 IJSE 41,5 372 self-employed, but there is no significant effect on the probability of a man being an unpaid family worker. In addition, an increase in minimum wage is associated with a decline in the probability of being unemployed, although the effect is relatively small (marginal effect is 0.01). Turning to the female workers, contrary to men, there is no significant effect of minimum wage on the probability of being in paid employment, suggesting that female workers in rural areas are less affected by the minimum wage policy. On the other hand, an increase in minimum wage increases the probability of women being unpaid family workers (marginal effect is 0.037). In this case, unpaid family work plays an important role providing an alternative job, particularly for women with young children or women with higher household responsibilities that require more flexible working hours. In addition, an increase in minimum wage decreases the probability of women being self-employed (marginal effect is 0.040). Table VI presents the second-stage estimation results for the effect of minimum wage on hours worked of paid employment in urban areas. In contrast to the negative employment effects from the previous studies of Indonesia, the minimum wage coefficients show a positive effect on hours worked, indicating a substitution effect between employment and hours worked. Using BFG s method, it is suggested that an increase in minimum wage by 10 percent increases the average hours worked of paid employment by 0.27 percent for male workers and 0.47 percent for female workers. The coefficients are relatively smaller than the coefficients of minimum wage effects on employment. Using a regional panel data method, Pratomo (2011), for example, suggested that an increase in minimum wage by 10 percent decreases paid employment by percent. Similar to Gindling and Terrell (2007), this result indicates that hours worked is less sensitive than employment to a change in minimum wage. The possible explanation is that the minimum wage in Indonesia is set based on monthly terms (not hourly terms), suggesting a change in per-worker cost (not a change in per-hour cost). Compared to male workers, the effects of the minimum wage on hours worked are much stronger for female workers. This evidence supports the previous finding that female workers are more likely to be affected by minimum wage. The reason is the fact that female workers, particularly in urban areas, are mostly employed in industries which contain more low-wage workers, such as in the manufacturing labor-intensive industries (Pangestu and Hendytio, 1997). Using BFG s method, all of the selection terms are significantly different from zero, confirming that there is a strong evidence of sample selection bias in the hours worked equation for male paid employment. This evidence also suggests that the OLS estimate without selection process is not robust to provide a consistent and efficient estimate due to selection bias. The negative coefficients of the selection terms in Bourguignon et al. s method mean that there are strong negative selection effects, indicating a downward bias in the OLS estimate without correction process. As suggested by Dimova and Gang (2007), any negative coefficients in the outcome equation would also mean that individuals in this sector are likely to work fewer hours than a random set of comparable individuals because individuals with less suitable unobserved characteristics have allocated into this sector out of an alternative one or because individuals with more suitable unobserved characteristics for this sector have allocated elsewhere from this sector. Specifically, a downward bias in the hours worked equation therefore means that paid employees (not randomly selected) are likely to work fewer hours than random ones from the population because of the allocation of individuals

12 BFG OLS Male Female Male Female Coef. p value Coef. p value Coef. p value Coef. p value Lrealmw Married Separated Head of HH child X2 children Age Age Age Mining Industry Electricity Construction Trade Transportation Finance Services Unemployment Year Year Year Year Year Year Year l l l l Constant Observations F test (0.00) (0.00) (0.00) (0.00) R Notes: All regressions include province dummies. Selection term: (l1) self-employed; (l2) unpaid family workers; (l3) paid employed in the covered sector; (l4) unemployed Paid employment in Indonesia 373 Table VI. Hours worked equation for paid employment in urban areas that are basically more suitable for paid employment category (based on their unobserved characteristics) into the other categories. The strongest effect of selection terms is found in the self-employed (l 1 )and unemployed (l 4 ) categories for male workers and self-employed (l 1 ) and unpaid family worker (l 2 ) for female workers, indicating that the downward selection bias is mostly caused by the allocation of individuals that are basically more suitable for paid employment category into those categories. The potential reason for this allocation could be that they are more likely to work more flexible working hours compared to paid employees with fixed (or standard) working hours. Consistent with BFG s method, the minimum wage coefficient using OLS without a correction process (see the third and fourth columns of Table VI) is slightly lower than BFG s method estimate, supporting evidence of downward bias using OLS.

13 IJSE 41,5 374 Most of the explanatory variables are significant at 5 percent level. In terms of ages, all of the coefficients are positive, implying that the younger workers (age ¼ o50) are likely to work longer hours than older workers (age450 or the reference group). However, the hours worked declines among older groups of workers, suggesting an inverted U-shaped relationship. For instance, young male workers (age and age 25-34), on average, work 7.4 and 7.6 percent longer hours compared to the reference group (age450), but the older male workers (age 35-50), work only 5.9 percent longer hours compared to the reference group. The coefficient of marital status is significant at 5 percent level for male workers. The coefficient of married men is positive indicating that married men work longer hours compared to single men (the reference group). It is suggested that married men in urban areas work 2.3 percent longer hours compared to single men. The potential reason is that they have more responsibilities to their households encouraging them to work more hours in order to gain extra income compared to single men. In contrast to male workers, the coefficients of married women are negative, indicating that married women work fewer hours compared to single women (the reference group). Using BFG s method, it is suggested that married women work 18.1 percent fewer hours, compared to single women. The potential reason is the fact that married women in general are more committed to their household responsibilities by working fewer hours outside their households, compared to single women. Moreover, male heads of household also tend to work longer hours, compared to non-heads of household, due to their responsibilities to their households. In addition, male workers with children in their households are also likely to work more hours, compared to male workers without children in their households. In contrast, it is interesting to note that female heads of household work fewer hours compared to female non-heads of household, although the marginal effect is relatively small. The possible reason is that female heads of household are dominated by older groups of female workers. In terms of sector of activity, most of the coefficients are positive and significant at 5 percent level. These positive coefficients suggest that all sectors of activity are likely to work longer hours compared to the agriculture sector (the reference group), given the dominance of part-time workers in that sector. Workers in the transportation and trade sectors, which usually do not require a fixed number of hours worked, are likely to work longer hours. The result suggests that, on average, male workers in the transportation sector work 21.3 percent longer hours than male workers in the agriculture sector. On the other side, male workers in the finance, services, and electricity sectors tend to work fewer hours than male workers in the transportation sector, but still longer hours than male workers in the agriculture sector. Compared to the OLS estimate (without correcting the selectivity bias), the main difference (in terms of explanatory variables) is the fact that the heads of household variable now has a positive and significant coefficient using BFG s method, while it is not significant using the OLS estimate. Moreover, in terms of sector of activity, the service sector also has a positive and significant coefficient when corrected for selection bias using BFG s method. In addition, based on BFG s method, married men work many more hours compared to single men. As noted above, using Bourguignon et al. s method, it is suggested that married men work 2.3 percent longer hours compared to single men, while using OLS, it is suggested that married men work only 1.8 percent more hours compared to single men. Table VII presents the second-stage estimation results for the hours worked equation of paid employment in rural areas. Compared to urban areas, the minimum

14 BFG OLS Male Female Male Female Coef. p value Coef. p value Coef. p value Coef. p value Lrealmw Married Separated Head of HH child X2 children Age Age Age Mining Industry Electricity Construction Trade Transportation Finance Services Unemployment Year Year Year Year Year Year Year l l l l Constant Observations F test (0.00) (0.00) (0.00) (0.00) R Notes: All regressions include province dummies. Selection term: (l1) self-employed; (l2) unpaid family workers; (l3) paid employed in the covered sector; (l4) unemployed Paid employment in Indonesia 375 Table VII. Hours worked equation for paid employment in rural areas wage in rural areas is less binding, particularly because of the dominance of the agriculture sector which is less likely to be covered by the minimum wage policy. Therefore, we might expect that paid employment in rural areas is less affected by a change in minimum wage. Following a similar format to the previous section, the effects of changes in minimum wage on hours worked in rural areas is estimated using the two-step procedure of selection-biased corrections using BFG s methods. In addition OLS estimates will be presented for comparison purposes. As presented in Table VII, the effect of minimum wage on male paid employment hours worked is estimated using BFG s method. Using this method, two of the selection terms are negative and significant indicating that there are negative selection effects. These negative selection effects suggest that paid employees in the sample work fewer hours than a random set of comparable paid employees because individuals that

15 IJSE 41,5 376 are basically more suited for the paid employment category (based on their unobserved characteristics) have been allocated into self-employed (l 1 ) and unemployed (l 4 ) categories. Following the same format as the previous section, the third column of Table VII presents the second-stage estimation of the selection-biased corrections for female workers in rural areas. Looking at the selection terms, BFG s method is significant at the 5 percent level. BFG s method show similar positive selection effects indicating that there is an upward bias in the hours worked estimation using OLS without selection process. More specifically, BFG s method suggests that paid employees in the sample are likely to work more hours than a random set of paid employees in the population because individuals that are basically more suitable for paid employment categories have been allocated into unpaid family workers (l 2 ) and unemployed (l 4 ) categories. Similar to urban areas, the minimum wage coefficient using BFG s method is slightly higher compared to the OLS estimate suggesting a downward bias in the hours worked estimation without accounting for the selection process. Using BFG s method, it is suggested that a 10 percent increase in the minimum wage raises the average paid employment hours worked in rural areas by 0.51 percent. Using OLS without a selection process, the minimum wage effect is underestimated by 0.1 percent compared to BFG s finding. In general this positive effect supports the previous findings in urban areas indicating that an increase in the minimum wage increases male paid employment hours worked. In contrast to male workers, the effects of the minimum wage on female workers hours worked are not significantly different from zero using different methods. The result is in line with the employment effect in the first-stage of estimation suggesting that there is no significant effect of the minimum wage on the probability of being in paid employment for female workers in rural areas. In practice, female paid employees in rural areas are less affected by the minimum wage, since most of them are still paid below the minimum wage level. In addition, female workers in rural areas are also dominated by workers in the agriculture sector which is not directly affected by the minimum wage policy. Compared to female workers in urban areas, these results also indicate that the minimum wage has a stronger effect in urban areas where the minimum wage is more binding due to greater enforcement and more effective labor unions. Looking at the explanatory variables, similar to female paid employment in urban areas, the coefficients of married women are negative, indicating that married women work fewer hours compared to single women (the reference group). Moreover, female heads of household also work fewer hours compared to female non-heads of household. As indicated in the previous section, the potential reason is that female heads of household are dominated by older female workers. In addition, female paid employees with children work fewer hours compared to female workers without children in their household. 6. Conclusions The full results of the minimum wage effects on hours worked suggest that hours worked increase as the minimum wage rises except for female workers in rural areas with no significant effect. These results indicate that an increase in minimum wage is compensated for by requiring longer hours for existing paid employees, supporting the presence of substitution effect between employment and hours worked. Compared to urban areas, the minimum wage coefficients for paid employment in rural areas are

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